i have been set some questions and there are 2 questons which i cannot do, and its due 2moro!!!!!
Express z=j in polar form.
Hence find all the fourth roots of z(i.e.z^(1/4).
Illustrate z and its fourth roots clearly on an Argand diagram.
(10 marks)
(b) Find and simplify
(1+j)^2, (1+j)^3, (1+j)^4, (1+j)^5
Show that e^x(cosx+jsinx)=e^(1+j)x
By making an appropriate substitution in the power series for e^x, obtain the power series for e^x cosx and e^x sinx as far as the term in x^5 .
(You may quote the Maclaurin expansion for from KU tables.)
can some help me do this please???
Express z=j in polar form.
Hence find all the fourth roots of z(i.e.z^(1/4).
Illustrate z and its fourth roots clearly on an Argand diagram.
(10 marks)
(b) Find and simplify
(1+j)^2, (1+j)^3, (1+j)^4, (1+j)^5
Show that e^x(cosx+jsinx)=e^(1+j)x
By making an appropriate substitution in the power series for e^x, obtain the power series for e^x cosx and e^x sinx as far as the term in x^5 .
(You may quote the Maclaurin expansion for from KU tables.)
can some help me do this please???
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